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# Solutions for Chapter 2.8: Related Rates ## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197 Solutions for Chapter 2.8: Related Rates

Solutions for Chapter 2.8
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##### ISBN: 9780618547197

Since 26 problems in chapter 2.8: Related Rates have been answered, more than 22929 students have viewed full step-by-step solutions from this chapter. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Chapter 2.8: Related Rates includes 26 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Branches

The two separate curves that make up a hyperbola

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Difference identity

An identity involving a trigonometric function of u - v

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Exponential form

An equation written with exponents instead of logarithms.

• First quartile

See Quartile.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Implied domain

The domain of a function’s algebraic expression.

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Pythagorean identities

sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Rose curve

A graph of a polar equation or r = a cos nu.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

• Terminal side of an angle

See Angle.

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Zero factorial

See n factorial.

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